Related papers: Bootstrapping non-Hermitian Quantum System

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arXiv Detail & Related papers (2025-07-22T07:14:05Z)
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We formalize the framework introduced by Pfau et al.citepfau2024accurate in terms of Grassmann geometry of the Hilbert space.<n>We validate our approach on the Heisenberg quantum spin model on the square lattice, achieving highly accurate energies and physical observables for a large number of excited states.
arXiv Detail & Related papers (2025-07-14T13:53:13Z)
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We present a framework for quantum work statistics in continuously monitored quantum systems. Our approach naturally incorporates non-Hermitian dynamics arising from quantum jump processes. We illustrate our theoretical framework by analyzing a one-dimensional transverse-field Ising model under local spin monitoring.
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We show topologically ordered states in the complex-valued spectra of non-Hermitian systems. These arise when the distinctive exceptional points in the energy surfaces of such models are annihilated. We illustrate the characteristics of the topologically protected states in a non-Hermitian two-band model.
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arXiv Detail & Related papers (2022-09-26T01:08:39Z)
Maximal quantum entanglement at exceptional points via unitary and thermal dynamics [0.3441021278275805]
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arXiv Detail & Related papers (2021-09-15T18:08:14Z)
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We show how generic non-Hermitian tight-binding lattice models can be realized in an unconditional, quantum-mechanically consistent manner. We focus on the quantum steady states of such models for both fermionic and bosonic systems.
arXiv Detail & Related papers (2021-03-02T18:56:44Z)
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The dynamics of non-Hermitian systems in the presence of exceptional points differ significantly from those of Hermitian ones. We identify different transmission dynamics separated by exceptional points, and derive analytical approximate formulas for the non-adiabatic transmission probabilities. We discuss possible experimental realizations with a $mathcalPmathcalT$-symmetric non-Hermitian one-dimensional tight-binding optical waveguide lattice.
arXiv Detail & Related papers (2020-07-09T07:02:49Z)
Symmetry assisted preparation of entangled many-body states on a quantum computer [0.0]
A method is proposed to construct entangled states that describe correlated many-body systems on quantum computers. Using operators for which the discrete set of eigenvalues is known, the QPE approach is followed by measurements that serve as projectors on the entangled states. These states can then be used as inputs for further quantum or hybrid quantum-classical processing.
arXiv Detail & Related papers (2020-06-11T14:59:22Z)

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